Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

Time bar (total: 9.3s)

analyze266.0ms (2.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
37.5%37.4%62.4%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 59.0ms (69.5% of total)
ival-div: 16.0ms (18.8% of total)
ival-add: 8.0ms (9.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 1.0ms (1.2% of total)

sample1.5s (16.3%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 619.0ms
ival-mult: 426.0ms (68.9% of total)
ival-div: 140.0ms (22.6% of total)
ival-add: 40.0ms (6.5% of total)
const: 9.0ms (1.5% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess66.0ms (0.7%)

Algorithm
egg-herbie
Rules
1692×sum4-define
1496×sum3-define
1044×fmsub-define
998×fnmsub-define
764×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045169
1183139
2689139
32373139
44868139
01111
1289
2469
3489
0489
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
Call 2
Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t)))
(+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t)))
(+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t)))
(+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t))))
(neg (+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t))))
(neg (+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t))))
(neg (+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t)))))
(+ (/ (* y y) (* x x)) (/ (* z z) (* t t)))
(+ (/ (* z z) (* y y)) (/ (* x x) (* t t)))
(+ (/ (* t t) (* y y)) (/ (* z z) (* x x)))
(+ (/ (* x x) (* z z)) (/ (* y y) (* t t)))
(+ (/ (* x x) (* t t)) (/ (* z z) (* y y)))
(+ (/ (* x x) (* y y)) (/ (* t t) (* z z)))
Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+ (square (/ x y)) (square (/ z t)))
(+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t)))
(+ (square (/ x y)) (square (/ z t)))
(+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t)))
(+ (square (/ x y)) (square (/ z t)))
(+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t)))
(+ (square (/ x y)) (square (/ z t)))
(+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t))))
(+ (square (/ x y)) (square (/ z t)))
(neg (+ (/ (* (neg x) (neg x)) (* y y)) (/ (* z z) (* t t))))
(fnmsub x (/ x (square y)) (square (/ z t)))
(neg (+ (/ (* x x) (* (neg y) (neg y))) (/ (* z z) (* t t))))
(fnmsub x (/ x (square y)) (square (/ z t)))
(neg (+ (/ (* x x) (* y y)) (/ (* (neg z) (neg z)) (* t t))))
(fnmsub x (/ x (square y)) (square (/ z t)))
(neg (+ (/ (* x x) (* y y)) (/ (* z z) (* (neg t) (neg t)))))
(fnmsub x (/ x (square y)) (square (/ z t)))
(+ (/ (* y y) (* x x)) (/ (* z z) (* t t)))
(+ (square (/ z t)) (square (/ y x)))
(+ (/ (* z z) (* y y)) (/ (* x x) (* t t)))
(+ (square (/ z y)) (square (/ x t)))
(+ (/ (* t t) (* y y)) (/ (* z z) (* x x)))
(+ (square (/ t y)) (square (/ z x)))
(+ (/ (* x x) (* z z)) (/ (* y y) (* t t)))
(+ (square (/ x z)) (square (/ y t)))
(+ (/ (* x x) (* t t)) (/ (* z z) (* y y)))
(+ (square (/ z y)) (square (/ x t)))
(+ (/ (* x x) (* y y)) (/ (* t t) (* z z)))
(+ (square (/ x y)) (square (/ t z)))
Symmetry

(abs x)

(abs y)

(abs z)

(abs t)

explain119.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-2(1.4787590429768261e-149 1.8203214183649367e-159 6.369301072167545e-269 1.6072474114434464e+246)(/.f64 (*.f64 x x) (*.f64 y y))
610-3(9.735021317508779e-254 1.7077915770325332e+77 2.8614140072417767e-5 1.7740873667859735e-157)(/.f64 (*.f64 z z) (*.f64 t t))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 t t)
00-0-(*.f64 x x)
00-0-z
00-0-(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
00-0-t
Results
84.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 24.0ms (65.8% of total)
ival-div: 9.0ms (24.7% of total)
ival-add: 2.0ms (5.5% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 11 computations (42.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
67.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Compiler

Compiled 38 to 22 computations (42.1% saved)

simplify40.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 x (/.f64 x y))
cost-diff0
(/.f64 (*.f64 x (/.f64 x y)) y)
cost-diff0
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (*.f64 y y))
cost-diff0
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
24×/-lowering-/.f32
24×/-lowering-/.f64
14×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01771
13663
24963
35063
05063
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(/ (* z z) (* t t))
(* z z)
z
(* t t)
t
(+ (/ (* x (/ x y)) y) (* z (/ z (* t t))))
(/ (* x (/ x y)) y)
(* x (/ x y))
x
(/ x y)
y
(* z (/ z (* t t)))
z
(/ z (* t t))
(* t t)
t
Outputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(+.f64 (*.f64 x (/.f64 (/.f64 x y) y)) (*.f64 z (/.f64 (/.f64 z t) t)))
(/ (* x x) (* y y))
(*.f64 x (/.f64 (/.f64 x y) y))
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (* z z) (* t t))
(*.f64 z (/.f64 (/.f64 z t) t))
(* z z)
(*.f64 z z)
z
(* t t)
(*.f64 t t)
t
(+ (/ (* x (/ x y)) y) (* z (/ z (* t t))))
(+.f64 (*.f64 x (/.f64 (/.f64 x y) y)) (*.f64 z (/.f64 (/.f64 z t) t)))
(/ (* x (/ x y)) y)
(*.f64 x (/.f64 (/.f64 x y) y))
(* x (/ x y))
(/.f64 (*.f64 x x) y)
x
(/ x y)
(/.f64 x y)
y
(* z (/ z (* t t)))
(*.f64 z (/.f64 (/.f64 z t) t))
z
(/ z (* t t))
(/.f64 (/.f64 z t) t)
(* t t)
(*.f64 t t)
t

localize111.0ms (1.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (/.f64 x y))
accuracy93.3%
(/.f64 (*.f64 x (/.f64 x y)) y)
accuracy92.9%
(*.f64 z (/.f64 z (*.f64 t t)))
accuracy91.3%
(/.f64 z (*.f64 t t))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 t t)
accuracy78.6%
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy74.4%
(/.f64 (*.f64 x x) (*.f64 y y))
Results
91.0ms256×0valid
Compiler

Compiled 99 to 18 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (45.6% of total)
ival-div: 9.0ms (41.1% of total)
ival-add: 2.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
12 → 300
Calls
Call 1
Inputs
#<alt (+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))>
#<alt (/ (* x x) (* y y))>
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (/ (* x (/ x y)) y) (* z (/ z (* t t))))>
#<alt (/ (* x (/ x y)) y)>
#<alt (* x (/ x y))>
#<alt (/ x y)>
#<alt (/ (* z z) (* t t))>
#<alt (* t t)>
#<alt (/ z (* t t))>
#<alt (* z (/ z (* t t)))>
Outputs
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ z (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
z
@0
(/ (* z z) (* t t))
2.0ms
t
@0
(/ (* z z) (* t t))
1.0ms
x
@0
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
1.0ms
t
@0
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
1.0ms
x
@inf
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))

rewrite326.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3588×/-lowering-/.f32
3588×/-lowering-/.f64
2832×*-lowering-*.f32
2832×*-lowering-*.f64
1724×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
111151
2123451
0867751
Stop Event
iter limit
node limit
Counts
12 → 742
Calls
Call 1
Inputs
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
(/ (* x x) (* y y))
(* x x)
(* y y)
(+ (/ (* x (/ x y)) y) (* z (/ z (* t t))))
(/ (* x (/ x y)) y)
(* x (/ x y))
(/ x y)
(/ (* z z) (* t t))
(* t t)
(/ z (* t t))
(* z (/ z (* t t)))
Outputs
(+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))) (neg.f64 (/.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 t t) (/.f64 z (/.f64 t (/.f64 z t))))) (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t)))))))
(-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) y))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 t t) (/.f64 z (/.f64 t (/.f64 z t))))) (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))))
(-.f64 (/.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 t t) (/.f64 z (/.f64 t (/.f64 z t))))) (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))))
(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 z (/.f64 (/.f64 z t) t) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 t t)) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x x) y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 z z) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 (*.f64 z z) t) (/.f64 #s(literal 1 binary64) t) (/.f64 x (*.f64 (/.f64 y x) y)))
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 z (/.f64 t (/.f64 z t))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 t t))) (*.f64 y (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 y y) (*.f64 t t)))
(/.f64 (+.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (/.f64 y (/.f64 (*.f64 x x) y)))) (+.f64 (/.f64 (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y))) (/.f64 t (/.f64 (*.f64 z z) t))) (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y)))))
(/.f64 (+.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (/.f64 y (/.f64 (*.f64 x x) y)))) (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 t t) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t)))) (/.f64 y (/.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 z z) (/.f64 (*.f64 t t) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (-.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t)))) (/.f64 y (/.f64 (*.f64 x x) y)))) (+.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 y y))) (/.f64 y (/.f64 (*.f64 x x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (/.f64 z (/.f64 t (/.f64 z t))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (+.f64 (*.f64 (*.f64 x x) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (/.f64 z (/.f64 t (/.f64 z t)))) (+.f64 (/.f64 (*.f64 x x) (/.f64 z (/.f64 t (/.f64 z t)))) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) t) (+.f64 (*.f64 (*.f64 x x) t) (/.f64 (*.f64 y y) (/.f64 t (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 t t)) (+.f64 (*.f64 (/.f64 (*.f64 x x) y) (*.f64 t t)) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 t (-.f64 #s(literal 0 binary64) t))) (+.f64 (*.f64 (/.f64 (*.f64 x x) y) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 t (/.f64 (*.f64 z z) t))) (+.f64 (/.f64 (/.f64 (*.f64 x x) y) (/.f64 z (/.f64 t (/.f64 z t)))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y t) (+.f64 (*.f64 (/.f64 (*.f64 x x) y) t) (/.f64 y (/.f64 t (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (*.f64 t t)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (/.f64 t (/.f64 z t)))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 t (/.f64 z t)))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) t) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y)) t) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 t (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 t t)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 z (/.f64 t (/.f64 z t)))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 z (/.f64 t (/.f64 z t)))) (*.f64 y (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) t) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t) (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 t (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 t t)) (+.f64 (*.f64 t t) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (+.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (-.f64 #s(literal 0 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 t (/.f64 (*.f64 z z) t))) (+.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 y (/.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 (*.f64 x x) y)) t) (+.f64 t (/.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 t (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) y) (+.f64 (*.f64 (*.f64 z z) y) (/.f64 (*.f64 t t) (/.f64 y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t t) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (+.f64 (*.f64 (*.f64 z z) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 t t) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t t) (/.f64 x (*.f64 (/.f64 y x) y))) (+.f64 (/.f64 (*.f64 z z) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (*.f64 y y)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) y) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (/.f64 y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (/.f64 x (*.f64 (/.f64 y x) y))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 t (-.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) y) (+.f64 y (/.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 y (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) y)) (+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (*.f64 y (-.f64 #s(literal 0 binary64) y))) (+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 x (*.f64 (/.f64 y x) y))) (+.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (/.f64 t (/.f64 (*.f64 z z) t)))))
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(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 t t)))
(*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z t) t))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z t) t)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z t)))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (/.f64 (*.f64 z z) t))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(neg.f64 (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (-.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z t))))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 (*.f64 z z) t))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (-.f64 #s(literal 0 binary64) t))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(pow.f64 (/.f64 t (/.f64 (*.f64 z z) t)) #s(literal -1 binary64))
(*.f64 z (/.f64 (/.f64 z t) t))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(*.f64 (*.f64 z z) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 (/.f64 z t) t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 z (/.f64 t (/.f64 z t))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 t t)))
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 t (/.f64 z t))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 z (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (*.f64 z z) t) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z z) t))
(*.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) t)) (/.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) t) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z t) t)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 z t) t))

simplify267.0ms (2.9%)

Algorithm
egg-herbie
Rules
4506×*-lowering-*.f32
4506×*-lowering-*.f64
1884×fma-define
1786×/-lowering-/.f32
1786×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0322388
1651752
22101500
39011500
431411500
544901500
674841500
080951500
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ z (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
Outputs
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(/ (pow x 2) (pow y 2))
(*.f64 x (/.f64 (/.f64 x y) y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(/ (pow x 2) (pow y 2))
(*.f64 x (/.f64 (/.f64 x y) y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(/ (pow x 2) (pow y 2))
(*.f64 x (/.f64 (/.f64 x y) y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (*.f64 x (/.f64 (/.f64 x y) y)))
(/ (pow z 2) (pow t 2))
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(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)

eval119.0ms (1.3%)

Compiler

Compiled 24214 to 1397 computations (94.2% saved)

prune93.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New105991068
Fresh000
Picked112
Done000
Total1060101070
Accuracy
100.0%
Counts
1070 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (/.f64 (*.f64 z z) t) t)
88.7%
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (*.f64 z (/.f64 z (*.f64 t t))))
90.8%
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 z (/.f64 z (*.f64 t t))))
90.6%
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t))))
97.2%
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
79.8%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
67.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
92.6%
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
86.4%
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
57.9%
(*.f64 x (/.f64 (/.f64 x y) y))
Compiler

Compiled 333 to 195 computations (41.4% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 x (/.f64 y x))
cost-diff0
(/.f64 (/.f64 x (/.f64 y x)) y)
cost-diff0
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (*.f64 z (/.f64 z (*.f64 t t))))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (*.f64 y y))
cost-diff0
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff0
(/.f64 x (/.f64 y (/.f64 x y)))
cost-diff0
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(*.f64 x (/.f64 (/.f64 x y) y))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 x (/.f64 x y))
cost-diff0
(/.f64 (*.f64 x (/.f64 x y)) y)
cost-diff0
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
Rules
46×/-lowering-/.f32
46×/-lowering-/.f64
36×*-lowering-*.f32
36×*-lowering-*.f64
18×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028153
156143
274143
374143
074143
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ (* x (/ x y)) y) (* (/ z t) (/ z t)))
(/ (* x (/ x y)) y)
(* x (/ x y))
x
(/ x y)
y
(* (/ z t) (/ z t))
(/ z t)
z
t
(* x (/ (/ x y) y))
x
(/ (/ x y) y)
(/ x y)
y
(+ (/ x (/ y (/ x y))) (* z (/ z (* t t))))
(/ x (/ y (/ x y)))
x
(/ y (/ x y))
y
(/ x y)
(* z (/ z (* t t)))
z
(/ z (* t t))
(* t t)
t
(+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))
(/ (* x x) (* y y))
(* x x)
x
(* y y)
y
(/ (/ z t) (/ t z))
(/ z t)
z
t
(/ t z)
(+ (/ (/ x (/ y x)) y) (* z (/ z (* t t))))
(/ (/ x (/ y x)) y)
(/ x (/ y x))
x
(/ y x)
y
(* z (/ z (* t t)))
z
(/ z (* t t))
(* t t)
t
Outputs
(+ (/ (* x (/ x y)) y) (* (/ z t) (/ z t)))
(+.f64 (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 x (/.f64 y (/.f64 x y))))
(/ (* x (/ x y)) y)
(/.f64 x (/.f64 y (/.f64 x y)))
(* x (/ x y))
(/.f64 x (/.f64 y x))
x
(/ x y)
(/.f64 x y)
y
(* (/ z t) (/ z t))
(/.f64 (/.f64 z t) (/.f64 t z))
(/ z t)
(/.f64 z t)
z
t
(* x (/ (/ x y) y))
(/.f64 x (/.f64 y (/.f64 x y)))
x
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
y
(+ (/ x (/ y (/ x y))) (* z (/ z (* t t))))
(+.f64 (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 x (/.f64 y (/.f64 x y))))
(/ x (/ y (/ x y)))
(/.f64 x (/.f64 y (/.f64 x y)))
x
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
(* z (/ z (* t t)))
(/.f64 (/.f64 z t) (/.f64 t z))
z
(/ z (* t t))
(/.f64 z (*.f64 t t))
(* t t)
(*.f64 t t)
t
(+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))
(+.f64 (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 x (/.f64 y (/.f64 x y))))
(/ (* x x) (* y y))
(/.f64 x (/.f64 y (/.f64 x y)))
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (/ z t) (/ t z))
(/.f64 (/.f64 z t) (/.f64 t z))
(/ z t)
(/.f64 z t)
z
t
(/ t z)
(/.f64 t z)
(+ (/ (/ x (/ y x)) y) (* z (/ z (* t t))))
(+.f64 (/.f64 (/.f64 z t) (/.f64 t z)) (/.f64 x (/.f64 y (/.f64 x y))))
(/ (/ x (/ y x)) y)
(/.f64 x (/.f64 y (/.f64 x y)))
(/ x (/ y x))
(/.f64 x (/.f64 y x))
x
(/ y x)
(/.f64 y x)
y
(* z (/ z (* t t)))
(/.f64 (/.f64 z t) (/.f64 t z))
z
(/ z (* t t))
(/.f64 z (*.f64 t t))
(* t t)
(*.f64 t t)
t

localize174.0ms (1.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 x (/.f64 y x))
accuracy93.3%
(/.f64 (/.f64 x (/.f64 y x)) y)
accuracy92.9%
(*.f64 z (/.f64 z (*.f64 t t)))
accuracy91.3%
(/.f64 z (*.f64 t t))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (/.f64 z t) (/.f64 t z))
accuracy74.4%
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy92.9%
(*.f64 z (/.f64 z (*.f64 t t)))
accuracy92.2%
(/.f64 x (/.f64 y (/.f64 x y)))
accuracy91.3%
(/.f64 z (*.f64 t t))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) y)
accuracy91.8%
(*.f64 x (/.f64 (/.f64 x y) y))
accuracy100.0%
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
accuracy99.8%
(*.f64 x (/.f64 x y))
accuracy99.7%
(*.f64 (/.f64 z t) (/.f64 z t))
accuracy93.3%
(/.f64 (*.f64 x (/.f64 x y)) y)
Results
133.0ms256×0valid
Compiler

Compiled 209 to 29 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 22.0ms (55% of total)
ival-mult: 13.0ms (32.5% of total)
ival-add: 4.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
21 → 576
Calls
Call 1
Inputs
#<alt (+ (/ (* x (/ x y)) y) (* (/ z t) (/ z t)))>
#<alt (/ (* x (/ x y)) y)>
#<alt (* x (/ x y))>
#<alt (/ x y)>
#<alt (* x (/ (/ x y) y))>
#<alt (/ (/ x y) y)>
#<alt (+ (/ x (/ y (/ x y))) (* z (/ z (* t t))))>
#<alt (/ x (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))>
#<alt (/ (* x x) (* y y))>
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (/ (/ x (/ y x)) y) (* z (/ z (* t t))))>
#<alt (/ (/ x (/ y x)) y)>
#<alt (/ x (/ y x))>
#<alt (/ y x)>
#<alt (* (/ z t) (/ z t))>
#<alt (/ z (* t t))>
#<alt (* z (/ z (* t t)))>
#<alt (/ (/ z t) (/ t z))>
Outputs
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ x (pow y 2))>
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#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
Calls

144 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ y x)
0.0ms
x
@inf
(/ (/ x y) y)
0.0ms
x
@-inf
(/ (/ x y) y)
0.0ms
y
@-inf
(/ y x)
0.0ms
x
@-inf
(/ y x)

rewrite416.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
5128×/-lowering-/.f32
5128×/-lowering-/.f64
2904×*-lowering-*.f32
2904×*-lowering-*.f64
1704×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028108
118698
2229398
0848098
Stop Event
iter limit
node limit
Counts
21 → 2036
Calls
Call 1
Inputs
(+ (/ (* x (/ x y)) y) (* (/ z t) (/ z t)))
(/ (* x (/ x y)) y)
(* x (/ x y))
(/ x y)
(* x (/ (/ x y) y))
(/ (/ x y) y)
(+ (/ x (/ y (/ x y))) (* z (/ z (* t t))))
(/ x (/ y (/ x y)))
(/ y (/ x y))
(+ (/ (* x x) (* y y)) (/ (/ z t) (/ t z)))
(/ (* x x) (* y y))
(* x x)
(* y y)
(+ (/ (/ x (/ y x)) y) (* z (/ z (* t t))))
(/ (/ x (/ y x)) y)
(/ x (/ y x))
(/ y x)
(* (/ z t) (/ z t))
(/ z (* t t))
(* z (/ z (* t t)))
(/ (/ z t) (/ t z))
Outputs
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (/.f64 y (/.f64 x y))))
(-.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 (/.f64 z t) (-.f64 #s(literal 0 binary64) (/.f64 t z))))
(-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y)))))
(-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) y))
(-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y)))
(-.f64 (/.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))) (/.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 t (/.f64 z (/.f64 t z)))) (-.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))))
(-.f64 (/.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 t (/.f64 z (/.f64 t z)))) (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (/.f64 y (/.f64 x y))))) (/.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 y (/.f64 x (/.f64 y x)))) (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (/.f64 y (/.f64 x y))))))
(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 z (/.f64 z (*.f64 t t)) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 z (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t z)) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 z (*.f64 t t)) z (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 x (/.f64 y x)) (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 z t)) (-.f64 #s(literal 0 binary64) (/.f64 z t)) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 y x)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 z (/.f64 t z)) (/.f64 #s(literal 1 binary64) t) (/.f64 x (/.f64 y (/.f64 x y))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
(fma.f64 (/.f64 (/.f64 z t) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) z) (/.f64 x (/.f64 y (/.f64 x y))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) t) z) (/.f64 (*.f64 (*.f64 y y) z) t)) (/.f64 (*.f64 y y) (/.f64 z t)))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 y (/.f64 x (/.f64 y x)))) (/.f64 (-.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (/.f64 y (/.f64 x y)))) (/.f64 t (/.f64 z (/.f64 t z))))))
(/.f64 (+.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 t (/.f64 z (/.f64 t z)))) (/.f64 (-.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t)))) (/.f64 y (/.f64 x (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 t (/.f64 z (/.f64 t z)))) (/.f64 (-.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t)))) (/.f64 y (/.f64 x (/.f64 y x))))) (+.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 t (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t (/.f64 z t))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 x (/.f64 t (/.f64 z t))) (*.f64 (/.f64 y (/.f64 x y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 t z)) (+.f64 (*.f64 x (/.f64 t z)) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (*.f64 t t)) (+.f64 (*.f64 x (*.f64 t t)) (*.f64 (/.f64 y (/.f64 x y)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (/.f64 y (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 x (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x y)) t) (+.f64 (*.f64 x t) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 (*.f64 x x) (/.f64 t (/.f64 z t))) (*.f64 (*.f64 y y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 t t)) (+.f64 (*.f64 (*.f64 x x) (*.f64 t t)) (*.f64 (*.f64 y y) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 (*.f64 x x) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) t) (+.f64 (*.f64 (*.f64 x x) t) (*.f64 (*.f64 y y) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 t (/.f64 z t))) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (/.f64 t (/.f64 z t))) (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 t z)) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (/.f64 t z)) (*.f64 y (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 t t)) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (*.f64 t t)) (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y t) (+.f64 (*.f64 (/.f64 x (/.f64 y x)) t) (*.f64 y (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 t (/.f64 z t))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 t z)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 t t)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) t) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) t) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (/.f64 t (/.f64 z t))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 t z)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (*.f64 t t)) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) t) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))) t) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 t (/.f64 z t))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 t z)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 t t)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) t) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 t (/.f64 z t))) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t))) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 t z)) (+.f64 (/.f64 t z) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (*.f64 t t)) (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 t z))) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 z t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 t (/.f64 z (/.f64 t z)))) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z)))) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) t) (+.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 z (/.f64 t z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 z t)) (/.f64 y (/.f64 x y))) (+.f64 (*.f64 z (/.f64 y (/.f64 x y))) (*.f64 (/.f64 t (/.f64 z t)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t (/.f64 z t)) (*.f64 y y)) (+.f64 (*.f64 z (*.f64 y y)) (*.f64 (/.f64 t (/.f64 z t)) (*.f64 x x)))))
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(*.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t))))

simplify255.0ms (2.7%)

Algorithm
egg-herbie
Rules
4448×*-lowering-*.f32
4448×*-lowering-*.f64
1884×fma-define
1826×/-lowering-/.f32
1826×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0354752
1683504
22143000
39053000
431673000
545123000
675373000
080153000
Stop Event
iter limit
node limit
Counts
576 → 576
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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(/ (pow x 2) (pow y 2))
(pow x 2)
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
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Outputs
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
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(/ (pow x 2) (pow y 2))
(/.f64 (/.f64 (*.f64 x x) y) y)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) t) t) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ z (pow t 2))
(/.f64 z (*.f64 t t))
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/ (pow z 2) (pow t 2))
(/.f64 (/.f64 (*.f64 z z) t) t)

eval358.0ms (3.8%)

Compiler

Compiled 64147 to 2620 computations (95.9% saved)

prune242.0ms (2.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New285572862
Fresh314
Picked325
Done011
Total2861112872
Accuracy
100.0%
Counts
2872 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (/.f64 (*.f64 z z) t) t)
60.1%
(/.f64 (/.f64 x (/.f64 y x)) y)
61.2%
(/.f64 (/.f64 x y) (/.f64 y x))
58.2%
(/.f64 x (/.f64 y (/.f64 x y)))
94.5%
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 z (/.f64 t (/.f64 z t))))
95.2%
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z)))))
97.2%
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
79.8%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
67.4%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
61.1%
(*.f64 (/.f64 x y) (/.f64 x y))
50.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
Compiler

Compiled 273 to 166 computations (39.2% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 x (/.f64 y x))
cost-diff0
(/.f64 (/.f64 x (/.f64 y x)) y)
cost-diff0
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 z (/.f64 t (/.f64 z t))))
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) t)
cost-diff0
(/.f64 (/.f64 (*.f64 z z) t) t)
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) (/.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff0
(/.f64 x (/.f64 y x))
cost-diff0
(/.f64 (/.f64 x (/.f64 y x)) y)
cost-diff0
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z))))
Rules
100×*-lowering-*.f32
100×*-lowering-*.f64
94×/-lowering-/.f32
94×/-lowering-/.f64
60×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023136
149115
281108
3130108
4183108
5238108
6249108
0249108
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (/ (/ x (/ y x)) y) (/ 1 (/ t (/ z (/ t z)))))
(/ (/ x (/ y x)) y)
(/ x (/ y x))
x
(/ y x)
y
(/ 1 (/ t (/ z (/ t z))))
1
(/ t (/ z (/ t z)))
t
(/ z (/ t z))
z
(/ t z)
(* (/ x y) (/ x y))
(/ x y)
x
y
(/ (/ x y) (/ y x))
(/ x y)
x
y
(/ y x)
(/ (/ (* z z) t) t)
(/ (* z z) t)
(* z z)
z
t
(+ (/ (/ x (/ y x)) y) (/ z (/ t (/ z t))))
(/ (/ x (/ y x)) y)
(/ x (/ y x))
x
(/ y x)
y
(/ z (/ t (/ z t)))
z
(/ t (/ z t))
t
(/ z t)
Outputs
(+ (/ (/ x (/ y x)) y) (/ 1 (/ t (/ z (/ t z)))))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 z (/.f64 t (/.f64 z t))))
(/ (/ x (/ y x)) y)
(/.f64 x (/.f64 (*.f64 y y) x))
(/ x (/ y x))
(/.f64 x (/.f64 y x))
x
(/ y x)
(/.f64 y x)
y
(/ 1 (/ t (/ z (/ t z))))
(/.f64 z (/.f64 t (/.f64 z t)))
1
#s(literal 1 binary64)
(/ t (/ z (/ t z)))
(/.f64 t (/.f64 z (/.f64 t z)))
t
(/ z (/ t z))
(/.f64 z (/.f64 t z))
z
(/ t z)
(/.f64 t z)
(* (/ x y) (/ x y))
(/.f64 x (/.f64 (*.f64 y y) x))
(/ x y)
(/.f64 x y)
x
y
(/ (/ x y) (/ y x))
(/.f64 x (/.f64 (*.f64 y y) x))
(/ x y)
(/.f64 x y)
x
y
(/ y x)
(/.f64 y x)
(/ (/ (* z z) t) t)
(/.f64 z (/.f64 t (/.f64 z t)))
(/ (* z z) t)
(/.f64 z (/.f64 t z))
(* z z)
(*.f64 z z)
z
t
(+ (/ (/ x (/ y x)) y) (/ z (/ t (/ z t))))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 z (/.f64 t (/.f64 z t))))
(/ (/ x (/ y x)) y)
(/.f64 x (/.f64 (*.f64 y y) x))
(/ x (/ y x))
(/.f64 x (/.f64 y x))
x
(/ y x)
(/.f64 y x)
y
(/ z (/ t (/ z t)))
(/.f64 z (/.f64 t (/.f64 z t)))
z
(/ t (/ z t))
(/.f64 t (/.f64 z t))
t
(/ z t)
(/.f64 z t)

localize201.0ms (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 t (/.f64 z t))
accuracy99.8%
(/.f64 x (/.f64 y x))
accuracy93.3%
(/.f64 (/.f64 x (/.f64 y x)) y)
accuracy92.6%
(/.f64 z (/.f64 t (/.f64 z t)))
accuracy100.0%
(*.f64 z z)
accuracy95.6%
(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy90.8%
(/.f64 (*.f64 z z) t)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy99.6%
(*.f64 (/.f64 x y) (/.f64 x y))
accuracy99.8%
(/.f64 x (/.f64 y x))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z))))
accuracy95.3%
(/.f64 t (/.f64 z (/.f64 t z)))
accuracy93.3%
(/.f64 (/.f64 x (/.f64 y x)) y)
Results
147.0ms256×0valid
Compiler

Compiled 159 to 24 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 24.0ms (80.5% of total)
ival-mult: 3.0ms (10.1% of total)
ival-add: 2.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
15 → 396
Calls
Call 1
Inputs
#<alt (/ 1 (/ t (/ z (/ t z))))>
#<alt (+ (/ (/ x (/ y x)) y) (/ 1 (/ t (/ z (/ t z)))))>
#<alt (/ (/ x (/ y x)) y)>
#<alt (/ x (/ y x))>
#<alt (* (/ x y) (/ x y))>
#<alt (/ x y)>
#<alt (/ (/ x y) (/ y x))>
#<alt (/ y x)>
#<alt (/ (/ (* z z) t) t)>
#<alt (/ (* z z) t)>
#<alt (* z z)>
#<alt (+ (/ (/ x (/ y x)) y) (/ z (/ t (/ z t))))>
#<alt (/ t (/ z (/ t z)))>
#<alt (/ z (/ t (/ z t)))>
#<alt (/ t (/ z t))>
Outputs
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
#<alt (/ (pow t 2) z)>
Calls

99 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(/ t (/ z t))
0.0ms
z
@inf
(/ (* z z) t)
0.0ms
t
@0
(/ t (/ z (/ t z)))
0.0ms
z
@0
(/ (* z z) t)
0.0ms
z
@0
(/ t (/ z (/ t z)))

rewrite454.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
4014×/-lowering-/.f32
4014×/-lowering-/.f64
3384×*-lowering-*.f32
3384×*-lowering-*.f64
2014×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02380
116166
2286466
0887766
Stop Event
iter limit
node limit
Counts
15 → 1303
Calls
Call 1
Inputs
(/ 1 (/ t (/ z (/ t z))))
(+ (/ (/ x (/ y x)) y) (/ 1 (/ t (/ z (/ t z)))))
(/ (/ x (/ y x)) y)
(/ x (/ y x))
(* (/ x y) (/ x y))
(/ x y)
(/ (/ x y) (/ y x))
(/ y x)
(/ (/ (* z z) t) t)
(/ (* z z) t)
(* z z)
(+ (/ (/ x (/ y x)) y) (/ z (/ t (/ z t))))
(/ t (/ z (/ t z)))
(/ z (/ t (/ z t)))
(/ t (/ z t))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 z t))))
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z))) (/.f64 z (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) t) z)) (/.f64 (/.f64 z t) (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) t)) (/.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) t) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t (-.f64 #s(literal 0 binary64) t))) (/.f64 (*.f64 z z) (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 t t))) (/.f64 (*.f64 z z) (neg.f64 (*.f64 t t))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) t))
(neg.f64 (/.f64 z (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 (*.f64 z z) t))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (/.f64 (*.f64 z z) t) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 #s(literal -1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (/.f64 z (-.f64 #s(literal 0 binary64) t)) (/.f64 (-.f64 #s(literal 0 binary64) t) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) t) t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (-.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (*.f64 z z)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 t (*.f64 z z))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) t))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 t t))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (*.f64 t (-.f64 #s(literal 0 binary64) t)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 t (/.f64 z t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (/.f64 t (*.f64 z z)))
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(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (/.f64 z (-.f64 #s(literal 0 binary64) t)) (/.f64 (-.f64 #s(literal 0 binary64) t) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) t) t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 t (-.f64 #s(literal 0 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 (*.f64 t t)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (*.f64 z z)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 t (*.f64 z z))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) t))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 t t))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (*.f64 t (-.f64 #s(literal 0 binary64) t)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 t (/.f64 z t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)) (/.f64 t (*.f64 z z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) t) z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 (*.f64 t t)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (/.f64 t (/.f64 z t)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (*.f64 t t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 t (/.f64 z t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 z z) t) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))) (neg.f64 (/.f64 t (*.f64 z z))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) z))) (/.f64 t z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) t) z))
(pow.f64 (/.f64 t z) #s(literal -2 binary64))
(pow.f64 (/.f64 t (/.f64 (*.f64 z z) t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 z z) t) t) #s(literal 1 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 t (/.f64 (*.f64 z z) t)) (/.f64 t (/.f64 (*.f64 z z) t))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) t) t))
(*.f64 z (/.f64 z (*.f64 t t)))
(*.f64 (/.f64 (*.f64 z z) t) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (/.f64 (*.f64 z z) t) t) #s(literal 1 binary64))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(*.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) t) t))
(*.f64 (*.f64 z z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 (*.f64 z z) t))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) (/.f64 t (/.f64 z t))))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) t)) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (/.f64 z (*.f64 t t)) z)
(*.f64 (/.f64 z (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z z) t))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z (*.f64 t t)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z z) t)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (*.f64 z z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(*.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 t t))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) t))) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(neg.f64 (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) t) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 t t)))))
(/.f64 t (/.f64 z t))
(/.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 t t)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) z) (neg.f64 (/.f64 #s(literal 1 binary64) t)))
(/.f64 (*.f64 t t) z)
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 z t))
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 z t))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) t) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 t t)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t)) (/.f64 z t))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) t)) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 0 binary64) t))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (/.f64 z (-.f64 #s(literal 0 binary64) t)))
(pow.f64 (/.f64 t (/.f64 z t)) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z t)))
(*.f64 t (/.f64 t z))
(*.f64 (/.f64 t z) t)
(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
(*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (-.f64 #s(literal 0 binary64) t) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) z) (-.f64 #s(literal 0 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) #s(literal -1 binary64)))
(*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 t z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 t z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) t)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) t) z))

simplify313.0ms (3.4%)

Algorithm
egg-herbie
Rules
4606×*-lowering-*.f32
4606×*-lowering-*.f64
1860×fma-define
1816×/-lowering-/.f32
1816×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0353012
1682232
22191908
39101908
431321908
544931908
675011908
081171908
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
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(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
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(/ (pow z 2) (pow t 2))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
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(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (pow z 2) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
(/ (pow t 2) z)
Outputs
(/ (pow z 2) (pow t 2))
(/.f64 (*.f64 z z) (*.f64 t t))
(/ (pow z 2) (pow t 2))
(/.f64 (*.f64 z z) (*.f64 t t))
(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
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(/ (pow x 2) (pow y 2))
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(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 t t))) (*.f64 y y))
(/ (pow z 2) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
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(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (+.f64 (*.f64 z z) (/.f64 (*.f64 t (*.f64 t (*.f64 x x))) (*.f64 y y))) (*.f64 t t))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow x 2) (pow y 2))
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(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
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(/ (pow z 2) (pow t 2))
(/.f64 (*.f64 z z) (*.f64 t t))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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(/ (pow z 2) (pow t 2))
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(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) (/.f64 (/.f64 (*.f64 x x) y) y))
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
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(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)

eval503.0ms (5.4%)

Compiler

Compiled 39033 to 2484 computations (93.6% saved)

prune317.0ms (3.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New206752072
Fresh033
Picked235
Done213
Total2071122083
Accuracy
100.0%
Counts
2083 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(/.f64 (/.f64 z t) (/.f64 t z))
60.1%
(/.f64 (/.f64 x (/.f64 y x)) y)
61.2%
(/.f64 (/.f64 x y) (/.f64 y x))
57.1%
(/.f64 (*.f64 (/.f64 z t) z) t)
50.1%
(/.f64 (*.f64 z z) (*.f64 t t))
57.1%
(/.f64 z (/.f64 t (/.f64 z t)))
58.2%
(/.f64 x (/.f64 y (/.f64 x y)))
54.1%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
94.5%
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 z (/.f64 t (/.f64 z t))))
79.8%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
61.1%
(*.f64 (/.f64 x y) (/.f64 x y))
50.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
Compiler

Compiled 244 to 155 computations (36.5% saved)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) t)
cost-diff0
(/.f64 t (/.f64 (*.f64 z z) t))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
cost-diff0
(/.f64 t z)
cost-diff0
(/.f64 z t)
cost-diff0
(/.f64 (/.f64 z t) (/.f64 t z))
cost-diff0
(*.f64 t t)
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) (*.f64 t t))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff0
(/.f64 x (/.f64 y (/.f64 x y)))
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 x (/.f64 y x))
cost-diff0
(/.f64 (/.f64 x (/.f64 y x)) y)
Rules
100×*-lowering-*.f32
100×*-lowering-*.f64
96×/-lowering-/.f32
96×/-lowering-/.f64
72×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02078
14368
27366
311265
418165
523265
623265
023265
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ x (/ y x)) y)
(/ x (/ y x))
x
(/ y x)
y
(/ x (/ y (/ x y)))
x
(/ y (/ x y))
y
(/ x y)
(/ (* z z) (* t t))
(* z z)
z
(* t t)
t
(/ (/ z t) (/ t z))
(/ z t)
z
t
(/ t z)
(/ 1 (/ t (/ (* z z) t)))
1
(/ t (/ (* z z) t))
t
(/ (* z z) t)
(* z z)
z
Outputs
(/ (/ x (/ y x)) y)
(/.f64 x (/.f64 y (/.f64 x y)))
(/ x (/ y x))
(*.f64 x (/.f64 x y))
x
(/ y x)
(/.f64 y x)
y
(/ x (/ y (/ x y)))
(/.f64 x (/.f64 y (/.f64 x y)))
x
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
(/ (* z z) (* t t))
(/.f64 z (/.f64 t (/.f64 z t)))
(* z z)
(*.f64 z z)
z
(* t t)
(*.f64 t t)
t
(/ (/ z t) (/ t z))
(/.f64 z (/.f64 t (/.f64 z t)))
(/ z t)
(/.f64 z t)
z
t
(/ t z)
(/.f64 t z)
(/ 1 (/ t (/ (* z z) t)))
(/.f64 z (/.f64 t (/.f64 z t)))
1
#s(literal 1 binary64)
(/ t (/ (* z z) t))
(/.f64 t (/.f64 z (/.f64 t z)))
t
(/ (* z z) t)
(/.f64 z (/.f64 t z))
(* z z)
(*.f64 z z)
z

localize116.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z z)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
accuracy95.3%
(/.f64 t (/.f64 (*.f64 z z) t))
accuracy90.8%
(/.f64 (*.f64 z z) t)
accuracy100.0%
(/.f64 z t)
accuracy100.0%
(/.f64 t z)
accuracy99.8%
(/.f64 (/.f64 z t) (/.f64 t z))
accuracy100.0%
(*.f64 z z)
accuracy100.0%
(*.f64 t t)
accuracy78.6%
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy92.2%
(/.f64 x (/.f64 y (/.f64 x y)))
accuracy100.0%
(/.f64 y x)
accuracy99.8%
(/.f64 x (/.f64 y x))
accuracy93.3%
(/.f64 (/.f64 x (/.f64 y x)) y)
Results
83.0ms256×0valid
Compiler

Compiled 96 to 21 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 23.0ms (86.5% of total)
ival-mult: 3.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
15 → 336
Calls
Call 1
Inputs
#<alt (/ (/ x (/ y x)) y)>
#<alt (/ x (/ y x))>
#<alt (/ y x)>
#<alt (/ x (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (/ x y)>
#<alt (/ (* z z) (* t t))>
#<alt (* z z)>
#<alt (* t t)>
#<alt (/ (/ z t) (/ t z))>
#<alt (/ z t)>
#<alt (/ t z)>
#<alt (/ 1 (/ t (/ (* z z) t)))>
#<alt (/ t (/ (* z z) t))>
#<alt (/ (* z z) t)>
Outputs
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow z 2) (pow t 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow t 2) (pow z 2))>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
#<alt (/ (pow z 2) t)>
Calls

84 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(/ z t)
0.0ms
t
@-inf
(/ t z)
0.0ms
z
@-inf
(/ z t)
0.0ms
z
@0
(/ t z)
0.0ms
t
@-inf
(/ z t)

rewrite373.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3066×*-lowering-*.f32
3066×*-lowering-*.f64
2484×/-lowering-/.f32
2484×/-lowering-/.f64
1888×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02065
111255
269552
3434752
01063252
Stop Event
iter limit
node limit
Counts
15 → 1827
Calls
Call 1
Inputs
(/ (/ x (/ y x)) y)
(/ x (/ y x))
(/ y x)
(/ x (/ y (/ x y)))
(/ y (/ x y))
(/ x y)
(/ (* z z) (* t t))
(* z z)
(* t t)
(/ (/ z t) (/ t z))
(/ z t)
(/ t z)
(/ 1 (/ t (/ (* z z) t)))
(/ t (/ (* z z) t))
(/ (* z z) t)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 y (*.f64 x x))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (log.f64 (/.f64 x (*.f64 y y))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (/.f64 y x))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 t (/.f64 #s(literal 1 binary64) t))) (/.f64 t (*.f64 z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 t (/.f64 z (/.f64 #s(literal -1 binary64) z)))) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) t) (*.f64 t (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 t (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) t) z)) (/.f64 t (/.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 z z))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 t (*.f64 z z))) (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 1 binary64))) (/.f64 (/.f64 t (/.f64 z t)) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 t (*.f64 z z))) (*.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64))) (/.f64 (/.f64 t (/.f64 z t)) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) z))) (/.f64 t (/.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 z t))) (/.f64 t z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) t))) (/.f64 t (*.f64 z z)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 t z)) (*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)))) (/.f64 t (/.f64 z t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal -1 binary64)))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 z (/.f64 t z)) (/.f64 z (/.f64 t z))) (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 t z)))))) (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 z (*.f64 z z))))))) (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 z (/.f64 t z)) (/.f64 z (/.f64 t z))) (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 t z)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 t z))) (*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z (/.f64 t z)) (/.f64 z (/.f64 t z)))))) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 z (/.f64 t z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) t) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))) (*.f64 t t))
(pow.f64 (/.f64 z (/.f64 t z)) #s(literal 1 binary64))
(pow.f64 (/.f64 t (*.f64 z z)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 z (/.f64 t z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 t (*.f64 z z)) (/.f64 t (*.f64 z z))) #s(literal -1/2 binary64))
(*.f64 z (/.f64 z t))
(*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 z t) z)
(*.f64 (/.f64 z t) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 t z)))
(*.f64 (/.f64 z (/.f64 t z)) #s(literal 1 binary64))
(*.f64 (/.f64 z (/.f64 t z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 z (/.f64 t z)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 z z))
(*.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 z z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 z (/.f64 t z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 z (/.f64 t z)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z t))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 z t))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) t))

simplify43.0ms (0.5%)

Algorithm
egg-herbie
Rules
42×*-lowering-*.f32
42×*-lowering-*.f64
40×/-lowering-/.f32
40×/-lowering-/.f64
14×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0191728
1231344
2431200
3611200
4611200
0611200
Stop Event
iter limit
saturated
Counts
336 → 336
Calls
Call 1
Inputs
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow z 2) (pow t 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow t 2) (pow z 2))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
Outputs
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
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(/.f64 (*.f64 x x) (*.f64 y y))
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(/.f64 (*.f64 x x) (*.f64 y y))
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(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
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(/.f64 (*.f64 x x) (*.f64 y y))
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(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
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(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
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(/ (pow z 2) (pow t 2))
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(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
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(/ z t)
(/.f64 z t)
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(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
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(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow z 2) (pow t 2))
(*.f64 z (/.f64 z (*.f64 t t)))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow t 2) (pow z 2))
(*.f64 t (/.f64 (/.f64 t z) z))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)

eval344.0ms (3.7%)

Compiler

Compiled 33884 to 3673 computations (89.2% saved)

prune233.0ms (2.5%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New219422196
Fresh033
Picked055
Done044
Total2194142208
Accuracy
100.0%
Counts
2208 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.8%
(/.f64 (/.f64 z t) (/.f64 t z))
60.0%
(/.f64 (/.f64 x (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
60.1%
(/.f64 (/.f64 x (/.f64 y x)) y)
61.2%
(/.f64 (/.f64 x y) (/.f64 y x))
57.1%
(/.f64 (*.f64 (/.f64 z t) z) t)
50.1%
(/.f64 (*.f64 z z) (*.f64 t t))
57.1%
(/.f64 z (/.f64 t (/.f64 z t)))
58.2%
(/.f64 x (/.f64 y (/.f64 x y)))
58.2%
(/.f64 x (*.f64 (/.f64 y x) y))
54.1%
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
94.5%
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 z (/.f64 t (/.f64 z t))))
79.8%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
61.1%
(*.f64 (/.f64 x y) (/.f64 x y))
50.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
Compiler

Compiled 457 to 174 computations (61.9% saved)

regimes103.0ms (1.1%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 z (/.f64 t (/.f64 z t))))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t))))
(+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z (/.f64 t z)))))
(/.f64 (/.f64 x (pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)
Outputs
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

11 calls:

23.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
11.0ms
y
11.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
7.0ms
x
7.0ms
t
Results
AccuracySegmentsBranch
97.2%1x
97.2%1y
97.2%1z
97.2%1t
97.2%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
97.2%1(/.f64 (*.f64 x x) (*.f64 y y))
97.2%1(*.f64 x x)
97.2%1(*.f64 y y)
97.2%1(/.f64 (*.f64 z z) (*.f64 t t))
97.2%1(*.f64 z z)
97.2%1(*.f64 t t)
Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes74.0ms (0.8%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
Outputs
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
Calls

11 calls:

15.0ms
(*.f64 y y)
8.0ms
z
7.0ms
x
6.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
6.0ms
y
Results
AccuracySegmentsBranch
92.6%1z
92.6%1(*.f64 z z)
92.6%1x
95.3%2y
92.6%1t
92.6%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
92.6%1(/.f64 (*.f64 x x) (*.f64 y y))
92.6%1(*.f64 x x)
95.2%2(*.f64 y y)
94.7%2(/.f64 (*.f64 z z) (*.f64 t t))
92.6%1(*.f64 t t)
Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes18.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
Outputs
(/.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y)))
Calls

3 calls:

6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
5.0ms
y
5.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
94.7%2(/.f64 (*.f64 z z) (*.f64 t t))
92.6%1(*.f64 y y)
92.6%1y
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes45.0ms (0.5%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
Outputs
(/.f64 (/.f64 x y) (/.f64 y x))
(+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t))))
Calls

9 calls:

6.0ms
(*.f64 x x)
6.0ms
(*.f64 t t)
5.0ms
(*.f64 y y)
5.0ms
z
5.0ms
t
Results
AccuracySegmentsBranch
88.2%2y
86.4%1(*.f64 x x)
88.6%2x
89.8%3t
86.4%1(*.f64 y y)
89.1%2z
89.1%2(*.f64 z z)
89.7%3(*.f64 t t)
89.2%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes42.0ms (0.4%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (/.f64 z t) (/.f64 t z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 z z) t)))
Outputs
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 z (/.f64 t (/.f64 z t)))
Calls

9 calls:

6.0ms
t
5.0ms
(*.f64 x x)
5.0ms
(*.f64 z z)
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
77.3%2(*.f64 y y)
76.1%2(*.f64 x x)
77.3%2y
76.1%2(*.f64 t t)
76.1%2t
76.1%2x
79.1%2z
79.1%2(*.f64 z z)
85.2%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes3.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 z (/.f64 t (/.f64 z t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (/.f64 z t) z) t)
Outputs
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 z (/.f64 t (/.f64 z t)))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
85.1%2(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes32.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 x (/.f64 y (/.f64 x y)))
Outputs
(*.f64 (/.f64 x y) (/.f64 x y))
Calls

4 calls:

25.0ms
x
2.0ms
y
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
61.1%1t
61.1%1x
61.1%1y
61.1%1z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 x y) y))
Outputs
(*.f64 x (/.f64 (/.f64 x y) y))
Calls

4 calls:

1.0ms
y
1.0ms
t
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
57.9%1y
57.9%1t
57.9%1x
57.9%1z
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
1.3062204769749346e-219
4.830099387859402e-209
Results
14.0ms160×0valid
Compiler

Compiled 426 to 257 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (55.8% of total)
ival-div: 2.0ms (27.9% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.5503e-319
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.5503e-319
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.223952905434427e+61
1.1130999860004146e+79
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.223952905434427e+61
1.1130999860004146e+79
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040175
148175
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
(if (<=.f64 y #s(literal 6855919895599931/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t)))) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 z (/.f64 t (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 z (/.f64 t (/.f64 z t))))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) y))
Outputs
(+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 (/.f64 z t) (/.f64 z t)))
(if (<=.f64 y #s(literal 6855919895599931/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t)))) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y))))
(if (<=.f64 y #s(literal 6855919895599931/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) (+.f64 (/.f64 (*.f64 x (/.f64 x y)) y) (*.f64 z (/.f64 z (*.f64 t t)))) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 y (/.f64 y x)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 (/.f64 y x) y))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (/.f64 z (/.f64 t (/.f64 z t))) (/.f64 x (*.f64 y (/.f64 y x)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 z (/.f64 z (*.f64 t t)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (+.f64 (*.f64 z (/.f64 z (*.f64 t t))) (/.f64 x (/.f64 y (/.f64 x y)))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 z (/.f64 t (/.f64 z t))))
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 39999999999999997975485411882960754678545800440536402923356160 binary64)) (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 z (/.f64 t (/.f64 z t))))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 x y) y))

soundness1.5s (16.5%)

Rules
5128×/-lowering-/.f32
5128×/-lowering-/.f64
4506×*-lowering-*.f32
4506×*-lowering-*.f64
4014×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02380
116166
2286466
0887766
01759
111151
2123451
0867751
01111
1289
2469
3489
0489
0322388
1651752
22101500
39011500
431411500
544901500
674841500
080951500
028108
118698
2229398
0848098
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 477 to 219 computations (54.1% saved)

preprocess55.0ms (0.6%)

Remove

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 578 to 202 computations (65.1% saved)

end0.0ms (0%)

Profiling

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